Slimjet is Google Chrome clone.
It is very fast and secure browser
There is deb. file for booth version 32-bit and 64-bit
I was nice surprised how it works and I recommend it.

you can read about it at:
http://www.slimjet.com/en/

download:
http://www.slimjet.com/en/dlpage.php

simply install it with
sudo dpkg -i {file name}

works like a charm on Kali
p.s. i did't check it on root account